计算机应用研究2017，Vol.34Issue(7)：2148-2150,3.DOI:10.3969/j.issn.1001-3695.2017.07.050
环Z/(pe)上最高权位序列模整数的保熵性
Entropy-preservation of the highest level sequences over Z/(pe) modulo integers
摘要
Abstract
This paper studied the Entropy-Preservation of the highest level sequences generated by primitive sequences over Z/(pe) modulo m,where p was an odd prime,e,m were integers greater than 1 and m+pe.Utilizing the properties of primitive sequences generated by a primitive polynomial of degree n≥2 over Z/(pe),this paper provided a sufficient condition to ensure that the highest level sequences were pairwise distinct modulo m and for given p,e sufficient condition always held for sufficiently large n.The results show that those highest level sequences are pairwise distinct modulomlike the primitive sequences over Z/(pe).Therefore,those sequences have a significant contribution to algorithm's resistance against bit-oriented cryptographic attacks,including algebraic attacks and fast correlation attacks.关键词
整数剩余环/本原序列/本原多项式/最高权位序列Key words
integer residue rings/primitive sequences/primitive polynomial/the highest level sequences分类
信息技术与安全科学引用本文复制引用
孙霓刚,汪伟昕..环Z/(pe)上最高权位序列模整数的保熵性[J].计算机应用研究,2017,34(7):2148-2150,3.基金项目
国家自然科学基金资助项目(61103172) （61103172）
